let $t$ be a collection of functions from $x$ to $y$, and call them ``tableaux". i'll describe a simplicial complex whose facets correspond exactly to these tableaux, with many good properties. \vskip .1in \noindent something particularly nice happens if $x$ is a poset, $y$ is totally ordered, and the tableaux are weakly order-preserving functions; then the simplicial complex is homeomorphic to a ball. (this is a sign of an interesting complex, and i'll recall why.) \vskip .1in \noindent this work is joint with ezra miller and alex yong (both in minnesota).